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Weyl type theorems and class A(s,t) operators

Weyl type theorems and class A(s,t) operators

In this note we show that if T belongs to the class A(s,t) for some 0 < s,t 1 then Weyl's and generalized Weyl's theorems hold for f (T ) for every analytic function f on some open neighborhood of σ (T ) .We also show that operators in A(s,t) …